Stress on Mesh

$F_{\text{through }A}={\int }_A\sigma (x,y)\mathrm{d}A\approx \sum _{i\in \text{edges that intersect }A}({\sigma }_i{a}_{\text{voronoi }i})({\hat{d}}_i\cdot \hat{n})$

• This is the total axial force through a plane $A$ of a body defined by a mesh
• $\hat{d}$ is unit direction of the mesh edge
• $\hat{n}$ is the normal of $A$
• $a_{\text{voronoi}}$ can be approximated as $\frac{1}{3}$ the area of the face areas incident to the edge